Counting points on curves over families in polynomial time

This note concerns the theoretical algorithmic problem of counting rational points on curves over finite fields. It explicates how the algorithmic scheme introduced by Schoof and generalized by the author yields an algorithm whose running time is uniformly polynomial time for curves in families.

Detaylı Bibliyografya
Yazar: Pila, J
Materyal Türü: Internet publication
Dil:English
Baskı/Yayın Bilgisi: 2005
Diğer Bilgiler
Özet:This note concerns the theoretical algorithmic problem of counting rational points on curves over finite fields. It explicates how the algorithmic scheme introduced by Schoof and generalized by the author yields an algorithm whose running time is uniformly polynomial time for curves in families.